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Finding the Third Proportional to 10,234 and 13,657

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Solution

The third proportional to 10,234 and 13,657 is: 18,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 13,657 = 13,657 : x
  2. Step 2: Convert to fraction form
    10,234/13,657 = 13,657/x
  3. Step 3: Cross multiply
    10,234x = 13,657 × 13,657
  4. Step 4: Simplify right side
    10,234x = 186,513,649
  5. Step 5: Solve for x
    x = 186,513,649/10,234
  6. Step 6: Final answer
    x = 18,224.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.